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Finding the Fourth Proportional to 5,706.18, 8,540.98 and 3,067.20

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Solution

The fourth proportional to 5,706.18, 8,540.98 and 3,067.20 is: 4,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.18 : 8,540.98 = 3,067.20 : x
  2. Step 2: Convert to fraction form
    5,706.18/8,540.98 = 3,067.20/x
  3. Step 3: Cross multiply
    5,706.18x = 8,540.98 × 3,067.20
  4. Step 4: Simplify right side
    5,706.18x = 26,196,886.19
  5. Step 5: Solve for x
    x = 26,196,886.19/5,706.18
  6. Step 6: Final answer
    x = 4,590.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.